graph from asymptotes
Is it possible to roughly sketch a graph(without plotting the points) from the asymptotes of a rational function? Is yes, what are the rules? For example, if I have to sketch a graph of y = (2x^2+10x-12)/x^2+x-6), how do I do it? I got the vertical asymptotes as x=-3 & x=2, ...February 4, 2007 by Jen

graph of a polynomial
Sketch the graph of 1/12(x+2)^2(x-3)^2 and make sure the graph shows all intercepts and exhibits the proper end behavior. I can sketch the graph but how do I do the second part? Thanks What does the function do at x= inf, or x= -inf. That is the end behaviour.January 31, 2007 by Jen

how to sketch a graph of..
Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank you so much. So 1)when the local minima is...November 5, 2006 by Leo

physics
Help with physics graph sketch? sketch a postion time graph for a student stopping at the school, which 5km east of home how would the graph look likeFebruary 7, 2010 by jake

MATH TRIGONOMETRY
refer to the polynomial function f(x)= -x(x-1)(x+2) in anwering the folloowing questions. 1.what is the y intercept? 2.what is the behavior of the left end of its graph? 3.will the graph pass through the origin? 4,what is the behavior of the left end of this graph? 5how many ...September 8, 2016 by skusta

Math
If f(x)= sqrt(x+1) find f^-1 and sketch its graph. If you can't sketch the graph that is fine I will figure that part out. ThanksMarch 31, 2011 by Dillan

Calculus I
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. 18. f(x) = 1/x , 1 < x < 3 I can graph it just fine, but for my answer I got that the function has none of the above. Is this correct?March 5, 2012 by Emily

calculus
i'm not sure how to do this. can someone help, please? thanks! consider the function f(x0 = x^2 + 2x on the interval [-2, 2] a. draw a sketch of the graph of f(x). find the average rate of change on the interval [-2, 2] and sketch this secant line. b. find an expression that ...November 27, 2011 by zoe

MATH
Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are.September 15, 2009 by Anonymous

math
Sketch the graph of a quadratic function for which the related quadratic equation has only one solution. Then, sketch one that has two solutions. Explain how you know by looking at the graph the number of solutions there are. July 7, 2011 by candy

ALGEBRA
Find the equation of the circle with radius 1 and center C(1, -2). Then sketch its graph. AND... Sketch a graph of the circle given by the equation. (x + 6)2 + (y – 4)2 = 16 April 23, 2014 by kellY

Calculus
I'm supposed to sketch a graph of two functions that have the same derivative of a graph. The graph having a horizontal line on (0,4)November 18, 2016 by Ian

math (4)
Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2) x=0 x=1April 23, 2014 by Vanessa

math (4)
Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2)April 24, 2014 by Vanessa

math (4)
Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2)April 25, 2014 by Mia

Calculus
Sketch a graph of a function f(x) that is differentiable and that satisfies the following conditions. c) f'(-3) = 0 and f'(1) = 0 Please show me, step by step, how to sketch the problem! May 25, 2008 by Anonymous

Algebra I
Describe a real world relationship between the area of a rectangle and its width, as the width varies and the length at the same time. Sketch a graph to show the relationship. So far, I have that even when the width increases, the width times the length always equals the area...November 13, 2013 by Anonymous

physics
The above graph represents the motion of two vehicles: A and B What is the acceleration of vehicle A during the first 5.0 s? Calculate the distance between vehicle A and B after 6.0 s? What is the instantaneous acceleration of vehicle A at the 10.0 s mark? What is the average ...June 3, 2014 by grey

physics
A subway train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 14.0s. It runs at a constant speed for 70.0 s and then slows down at a rate of -3.50 m/s2 until it stops at the next station. a) Sketch a position vs. time graph for this problem. b) Sketch...June 4, 2012 by cody

math - geometry
Austin wants to sketch the graph of a circle represented by the given equation. (x - 4)2 + (y + 7)2 = 64 Using complete sentences, describe the steps used to sketch the circle on a coordinate gridAugust 19, 2013 by kris

math (4)
Sketch the graph (Do this on paper. Your teacher may ask you to turn in this graph.) and find the area of the region bounded below by the graph of the function and above by the x axis from x = 0 to x = 1. f(x) = -xe^(-x^2) Note: People have been telling me that the two lines ...April 26, 2014 by Mia

Pre-calc
I am given the graph of y=f(x) and I am asked to sketch the graph of y=-2f(-x). How do I move and/or rotate the given graph? May 15, 2012 by Jack

Algebra II
I sketched the graph for this but I don't know how to find B and C: x=t-2 Sketch the graph of: for -2¡Üt¡Ü5 Y=t^2-4t-3 B. State the domain of x and the range of y. c. Write y as a function of x.September 12, 2010 by Sue

math
I need to sketch the graph of t(x)=2x^2 +3x > or equal to 10x-x^2. How do I work out the points to plot on the graph?December 7, 2012 by lindsay

Physics
An engineer is designing a runway for an airport. Several planes will use the runway and the engineer must design it so that it is long enough for the largest planes to become airborne before the runway ends. The largest plane accelerates at 3.30 m/s2 and has a takeoff speed ...October 23, 2010 by grace

physics
for example of the stone dropped from a ballon and striking the ground and taking into account air resistance sketch a) a distance-time graph b) a velocity-time graph c)an acceleration-time graphOctober 7, 2010 by liz

calculus
Give a reasonable sketch, on the axes provided, of the graph of the function x/(x^2-1)^1/2 showing all characteristics. Use the following pieces to justify your sketch. a) Domain ? b) coordinates x and y intercepts ? c) Symmetry ? is the function odd, even, or neither ? d) ...July 5, 2010 by Anonymous

CALCULUS
Sketch the graph of f(x)=1/(1+x^2)showing y-intercept, intervals where the graph increase / decrease, intervals where the graph is concave up/ down , inflexion point and stationary pointApril 17, 2016 by BAGINILE

algebra
Sketch a graph of y=1/2int(x-2)+1. State the domain range and intercepts. Hint: Lightly graph y=int(x) and then apply three transformations. June 30, 2011 by dazzling

grade 12 AP calculus
Sketch a possible graph of a continuous function f that has domain [0,3], where f(0)=-3 and the graph of y=f'(x) is shown. Thank you so much for the help. It is making the concepts far more clear.December 3, 2012 by Alannah

Calculus 1
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) f(t) = 6 cos t, −3π/2 ≤ t ≤ 3π/2 October 20, 2015 by TayB

trignometry
Some equations cannot be solved by symbolic manipulations. Use a graph to find all solutions of the equation sin 8x = 2x - 1. Show the details in a sketch of the graph.October 24, 2015 by jojo

maths
Given the quadratic equation y = -x^2 + 2x + 3. a) Will the graph turn upwards or downwards? b)What are the coordinates of x and y intercepts? c)What is the coordinate of the turning point? d)Use your answer in parts (a,b,c,and d) to sketch the graph. May 2, 2014 by Shane

maths
Given the quadratic equation y = -x^2 + 2x + 3. a) Will the graph turn upwards or downwards? b) What are the coordinates of x and y intercepts? c) What is the coordinate of the turning point? d) Use your answer in parts (a,b,c and d) to sketch the graph.May 10, 2014 by Shane

Graph help!
Sketch y= -(1/4) (2)^(x-4)+5 I know that the basic equation is y=2^x so is the graph translated 4 units right, vertically stretched by a factor of (1/4), reflected on the x-axis and translated up 5?November 8, 2010 by Ali

calculus
6. Determine a, b, c, and d so that the graph of y=ax^3+bx^2+cx+d has a point of inflection at the origin and a relative maximum at the point (2, 4). Sketch the graph.January 3, 2012 by Yoona

algebra
the graph of a first degree absolute value function has a Y-intercept of 3, x-intercepts of -9 and -3 , and a minimum vlaue of -3 at x=-6. on the axes provided , sketch a graph of this function.June 15, 2015 by karin

Calculus
a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ???? Then improve your estimate by using six rectangles. R6= ????? Sketch the curve and the approximating rectangles for R3. Sketch the curve and the ...April 23, 2014 by TANYA

Calculous
the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x<or equal to 3 a)for what values of x in the domain does f have a relative max and amin? justify b) for what values of x is the ...November 21, 2011 by Yoona

Pre-Calculus
Sketch the graph f(x)=-2x^2(x-5)^3(x+2)^4. What would be my coordinates. I solved it and my graph looks nothing like the one on wolframalpha. Can someone show me how you would solve this?March 25, 2012 by Cooper

Pre-Calculus
Sketch the graph f(x)=-2x^2(x-5)^3(x+2)^4. What would be my coordinates. I solved it and my graph looks nothing like the one on wolframalpha. Can someone show me how you would solve this?March 25, 2012 by Cooper

math
The function f(x)= ax^3 - bx +c passes through the origin, f(-1)=4/3 and it has an extreme point at x=1 (i) Find the values of a, b and c. (ii) Sketch the graph (iii) Find the area bounded by the graph of f(x) and the x-axis between the lines x=-1 and x=1April 25, 2013 by gibbs

algebra II
Can you please help me with the these problems. 8.Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 11x^2, but which has its vertex at (2, 9). 10. Use the vertex and intercepts to sketch the graph of the quadratic function. y + 3...October 13, 2007 by Ashley

Physics- pls help
A 5kg object starts at rest and has a force applied to it of 10 Newtons for 2 seconds, followed by 20 Newtons for 2 seconds, followed by 30 newtons for 2 seconds, all in the same direction. a. Determine its final velocity b. Sketch a graph of force vs time c. Create a ...November 1, 2010 by sally

chemistry 12
hey i was wondering, i have this question: Sketch a pH curve for the titration of 40.00mL of 0.100 M hydrazine, H2NNH2, having a K of 3.0x10^-6 by 0.100 M HCIO4 i know you can t sketch but could you tell me what to do with the "K of 3.0x10^-6" i could sketch the curve without ...July 17, 2012 by dan

Maths
I'm after understanding more than an answer but an answer would be greatly appreciated. The question reads as "On the answer sheet for this question is shown an x-y graph of the function [y(x)=x^2cos(3x)] Add to that same picture a rough sketch of the graph of dy/dx against x...November 16, 2010 by Jack

Math
I'm after understanding more than an answer but an answer would be greatly appreciated. The question reads as "On the answer sheet for this question is shown an x-y graph of the function [y(x)=x^2cos(3x)] Add to that same picture a rough sketch of the graph of dy/dx against x...November 17, 2010 by Jack

Calculus
y=x^3-3x. Fill out the following table and then make a rough sketch of the graph. I can make the sketch just having trouble understanding what is wanted. y=0 when y'=0 when Relative Max(s) Relative Min(s) y'>0 on the interval(s) y'<0 on the interval(s) y is increasing on...October 2, 2012 by Kieran

Algebra
The quadratic function f is negative only on the open interval (−2, 1 4 ) and its graph passes through the point (−1, −5). Determine the coefficients of f and sketch its graph.January 25, 2016 by Anon

Algebra
The quadratic function f is negative only on the open interval (−2, 1 4 ) and its graph passes through the point (−1, −5). Determine the coefficients of f and sketch its graph.January 25, 2016 by Anon

Math
You are in a car of a ferris wheel. The wheel has a radius of 8m and turns counterclockwise. Let the orgin be at the center of the wheel. Begin each sketch in parts a) and b) when the radius from the centre of the wheel to your car is along the positive x-axis. a) Sketch the ...March 6, 2013 by Kristien

Algebra
Suppose that f(x)= (5x) _________ (x^2)−x−6 a. Determine the domain of f b. Determine the vertical asymptote(s), if any, of the graph of f c. Determine the horizontal asymptote(s), if any, of the graph of f d, Sketch the graph of fJuly 27, 2014 by Sammi

Math
a simple Model (model 1)of distance,d meters,fallen in time t seconds by free-fall skydiver is d(t)=4.9t^2 a. sketch the model b. a different model (model 2) for the distance travelled by a skydiver is d(t)=4.9t^2-0.1t^2.sketch a graph of this functionMarch 17, 2015 by sana

Physics
Draw a fully labelled graph of stopping distance on the indpending y,axis vs speed on the independent x,axis.plot the points and sketch your graph use the graph paper.speed 32km,48km,64km,80,km,96km,112km,stopping distance 12m,23m,36m,53m,74m,96m April 26, 2010 by Aphiwe

acollege algebra
If f(x)=2(x-3)^2-5 find the vertex, the x intercepts the y intercepts sketch the graph, choose two points on the graph and find the rate of changeApril 30, 2013 by smc

Trigonometry
I'm having a lot of trouble with graphing trig functions. Can anyone tell me how to graph this equation on a graphing calculator? Sketch the graph of y= sin x in the interval 0 ≤ x ≤4π April 3, 2012 by Peter pan

PHYSICS PLEASE HELP
A fire hose held near the ground shoots water at a speed of 6.5 m/s 1. At what angle(s) should the nozzle point in order that the water land 2.5 m away? -I believe the answer is 18,72 2. Sketch the trajectory for the 18; angle -Please give me exact (x,y coordinates) -I believe...January 26, 2014 by PHYSICS

biomechanics
a)Describe the structure of the contractile elements of skeletal muscle b)Sketch a graph of the relationship between developed tension and muscle length and explain the shape of the curve in terms of the interaction between thick and thin myofilaments C) sketch a graph of the ...November 14, 2012 by dmkp

Physics
A ball is rolled up a ramp from the point B shown below, with an initial speed of 5 miles per hour. It continues up the ramp to point C before it begins to roll back down. Throughout the motion up and down the ramp, the ball maintains a constant acceleration (this is always ...October 18, 2013 by Luul

Trig
Sketch the graph through at least one complete cycle. Label the axes on the coordinate plane. Use your graph to predict the height of point P above the surface of the water when the stopwatch shows 7 seconds. Round to the nearest tenth of a foot. (Enter only the number.)June 21, 2012 by Jessica

one more graph question
Hopefull the last one. :) Sketch the graph of a differentiable function y = f(x) with this property: A local minimum value that is greater than one of its local maximum valuesNovember 5, 2006 by Jen

Pre-Calculus
For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the x-axis at each x-intercept. Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below ...October 10, 2015 by Leizy

maths
sketch the graph of each line y= -7x+3 and there is a graph drawn with y axis range from -6:6 x axis range frm -6:6 February 11, 2014 by krissy

Calculus
Consider the function f defined by f(x)= sin x/x, x cannot equal 0 1, x cannot equal 0 a) At what points does the graph cross the X-axis? b) What is the relation between f(x) and tan x at points x cannot equal 0 at which f(x)=0? c) What is the behavior of f as the absolute ...December 13, 2010 by Nikki